The Development of Completed Grey Relational Grade Toolbox via Matlab

Abstract

The software in engineering field, even in others filed become most important and more necessary in the 21 century, although there are many toolbox, such as fuzzy, chaos, …, etc., had been developed in the past, the grey toolbox still seldom and not quite completed. Therefore, in this paper, the focus is on the toolbox development of ordinal grey relational grade and cardinal grey relational grade by using Matlab, to development the completed grey relational grade toolbox. Firstly, we preview the whole mathematical foundation of grey relational grade in detail. Secondly, the mathematics model of ten kinds of grey relational grade, and two types of grey relational grades (ordinal and cardinal) are presented. Thirdly, based on the mathematics model, we use Matlab to develop the grey relational grade toolbox. As the results, in this paper, ten kinds of grey relational grade methods, and two types of grey relational grades (ordinal and cardinal) are developed, we can say this kind of completed research is the main contribution and is the first research in grey relational grade. Also can extends in the economy in benefit, for our research, the market price of the whole grey relational grade toolbox with our evaluation; at least will over US 500 dollars. To sum up, we hope this completed grey relational grade toolbox is not only to enhance the depth research of grey relation grade, buy also become a new approach for the applications in grey system theory.

Prioritizing emotional intelligence training needs using optimal globalization grey relational analysis

“…Several MADM studies have suggested the utilization of average ranking method to identify the best solution for decision makers (Karni et al, 1990;Slotanpanah et al, 2010). In model of the aforementioned studies, the application of optimal GGRA aimed at turning ranking disagreement among the four methods of GGRA into an integrated synergistic approach, which allows for making the best possible estimation of GGRA, handling psychological measurements with "positive-negative" direction in response choices, or solving the disagreements various MADM problems that happen in the real world (Wang et al, 2006;Wen et al, 2009).…”

“…The diversified operations of grey relational grade are all derived from and refined based on Deng's formula, involving ranking or evaluating a finite number of discrete alternatives with multiple attributes. Four methods of globalization grey relational grade (GGRA) proposed by Wu, Wen, Hsia and Nagai are all utilized in this study (Wang et al, 2006;Wen et al, 2009). Like other available MADM techniques, it is extremely difficult to identify the best and most suitable GGRA method for a specific decision making problem.…”

“…In other words, the 13 EI variables were the comparison values, whereas the best EI scores obtained were set to be the standard sequence against which each EI variable's contribution to the best values was measured. Utilizing Matlab, Wang et al (2006) developed a completed grey relational grade toolbox with which comparison values were computed against the best values and the four globalization grey relational grades were obtained. Since each of the four methods has its own merits and defects, the most promising approach would be averaging the four to obtain the mutual values, or the optimal GGRA, for ranking and prioritizing alternatives (Wen et al, 2009).…”

“…GGRA function of the complete grey relational grade toolbox was utilized to compute the GGRA values based on the four methods. Normalized decision matrices on spreadsheets were extracted to the toolbox developed by Wang et al (2006). The platforms of the toolbox exemplified by Wu's GGRA on the US sample and Nagai's GGRA are shown in Figures 1 and 2.…”

A Cloud Service Selection Model Based on User-Specified Quality of Service Leve

“…Besides, we have invited six raters to select by ranking the sample services manually. CloudEval used two toolboxes of GRG and GRC, mentioned in Section 2.3 and 3.1, written in MATLAB by [16]. Both the toolboxes were processed in MATLAB 7.0.1 for each experiment.…”